Approximate maximum likelihood estimation of circle parameters using a phase-coded kernel
Date
2004
Authors
Zelniker, Emanuel Emil
Clarkson, V. L.
Editors
Advisors
Journal Title
Journal ISSN
Volume Title
Type:
Conference paper
Citation
Approximate maximum likelihood estimation of circle parameters using a phase-coded kernel. Proceedings of EUSIPCO 2004 European Signal Processing Conference, 6 - 10 September 2004, Vienna, Austria: pp. 617 - 620
Statement of Responsibility
Conference Name
European Signal Processing Conference ( 12th : 2004 : Vienna, Austria)
Abstract
The accurate fitting of a circle to noisy measurements of
points on its circumference is an important and much-studied
problem in statistics. ATHERTON & KERBYSON (Image and
Vision Computing 17, 1999, 795-803) have proposed a complex
convolutional circle parameter estimator. One of the estimators
proposed is a ‘Phase-Coded Annulus’ to estimate
for the centre and radius. ZELNIKER & CLARKSON (Digital
Image Computing: Tech. and Appl. 2003, 509-518) have
shown that it is possible to exactly describe the Maximum
Likelihood Estimator (MLE) in terms of convolution under
a certain model for ideal images formed from noisy circle
points. In this paper, we investigate the relationship between
the convolution of an ideal image with a Phase-Coded Kernel
and the MLE. We compare our approximate MLE (AMLE)
method to the DELOGNE-K°A SA Estimator which uses a least
squares approach to solve for the circle parameters, the MLE
as well as the theoretical CRAM´ER-RAO Lower Bound.
School/Discipline
School of Computer Science